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Finding the Fourth Proportional to 20,951.80, 31,365.33 and 13,534.63

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Solution

The fourth proportional to 20,951.80, 31,365.33 and 13,534.63 is: 20,261.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,951.80 : 31,365.33 = 13,534.63 : x
  2. Step 2: Convert to fraction form
    20,951.80/31,365.33 = 13,534.63/x
  3. Step 3: Cross multiply
    20,951.80x = 31,365.33 × 13,534.63
  4. Step 4: Simplify right side
    20,951.80x = 424,518,136.38
  5. Step 5: Solve for x
    x = 424,518,136.38/20,951.80
  6. Step 6: Final answer
    x = 20,261.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.